Dipartimento di Matematica
Guido Castelnuovo

arxiv-id: 2309.02238v1 [Abstract, pdf]
The geometry of antisymplectic involutions, II
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady, Giulia Saccà
Published: 2023-09-05

arxiv-id: 2307.05238v2 [Abstract, pdf]
Moduli of abelian varieties near the locus of products of elliptic curves
Samuel Grushevsky, Riccardo Salvati Manni
Published: 2023-07-11

arxiv-id: 2305.07160v2 [Abstract, pdf]
On decorated representation spaces associated to spherical surfaces
Gabriele Mondello, Dmitri Panov
Published: 2023-05-11

arxiv-id: 2208.00694v2 [Abstract, pdf]
Semiregularity maps and deformations of modules over Lie algebroids
Ruggero Bandiera, Emma Lepri, Marco Manetti
Published: 2022-08-01

arxiv-id: 2207.04139v1 [Abstract, pdf]
Differentiating Siegel modular forms, and the moving slope of ${\mathcal A}_g$
Samuel Grushevsky, Tomoyoshi Ibukiyama, Gabriele Mondello, Riccardo Salvati Manni
Published: 2022-07-08

arxiv-id: 2204.04096v3 [Abstract, pdf]
Weakly Kähler hyperbolic manifolds and the Green--Griffiths--Lang conjecture
Francesco Bei, Simone Diverio, Philippe Eyssidieux, Stefano Trapani
Published: 2022-04-08

arxiv-id: 2111.12985v3 [Abstract, pdf]
$L_{\infty}$ liftings of semiregularity maps via Chern-Simons classes
Ruggero Bandiera, Emma Lepri, Marco Manetti
Published: 2021-11-25

arxiv-id: 2109.07425v1 [Abstract, pdf]
Moduli of sheaves on $K3$'s and higher dimensional HK varieties
Kieran G. O'Grady
Published: 2021-09-15

arxiv-id: 2109.06142v1 [Abstract, pdf]
Slopes of Siegel cusp forms and geometry of compactified Kuga varieties
Flora Poon, Riccardo Salvati Manni, Gregory Sankaran
Published: 2021-09-13

arxiv-id: 2105.03861v5 [Abstract, pdf]
Universally irreducible subvarieties of Siegel moduli spaces
Gabriele Mondello, Riccardo Salvati Manni
Published: 2021-05-09

arxiv-id: 2102.02161v2 [Abstract, pdf]
The geometry of antisymplectic involutions, I
Laure Flapan, Emanuele Macrì, Kieran G. O'Grady, Giulia Saccà
Published: 2021-02-03
Journal Reference: Math. Z. 300 (2022), 3457-3495 (special issue in honor of Olivier Debarre)

arxiv-id: 2012.12815v4 [Abstract, pdf]
A note on Griffiths' conjecture about the positivity of Chern-Weil forms
Filippo Fagioli
Published: 2020-12-23
Journal Reference: Differ. Geom. Appl. 81 (2022), 101848

arxiv-id: 2011.11379v2 [Abstract, pdf]
Kobayashi hyperbolicity, negativity of the curvature and positivity of the canonical bundle
Simone Diverio
Published: 2020-11-23

arxiv-id: 2009.14587v3 [Abstract, pdf]
Pointwise Universal Gysin formulae and Applications towards Griffiths' conjecture
Simone Diverio, Filippo Fagioli
Published: 2020-09-30
Journal Reference: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXIII (2022), 1597-1624

arxiv-id: 2008.02772v1 [Abstract, pdf]
Moduli of spherical tori with one conical point
Alexandre Eremenko, Gabriele Mondello, Dmitri Panov
Published: 2020-08-06
Journal Reference: Geom. Topol. 27 (2023) 3619-3698

arxiv-id: 2006.16837v5 [Abstract, pdf]
Moduli spaces for Lamé functions and Abelian integrals of the second kind
Alexandre Eremenko, Andrei Gabrielov, Gabriele Mondello, Dmitri Panov
Published: 2020-06-30
Journal Reference: Communications in Contemporary Mathematics, 24, (2022) N2, 1-68

arxiv-id: 2004.05099v2 [Abstract, pdf]
On Frobenius' theta formula
Alessio Fiorentino, Riccardo Salvati Manni
Published: 2020-04-10
Journal Reference: SIGMA 16 (2020), 057, 14 pages

arxiv-id: 1912.02659v4 [Abstract, pdf]
Modular sheaves on hyperkähler varieties
Kieran G. O'Grady
Published: 2019-12-05

arxiv-id: 1909.07062v2 [Abstract, pdf]
Harmonic theta series and the Kodaira dimension of $\mathcal{A}_6$
Moritz Dittmann, Riccardo Salvati Manni, Nils R. Scheithauer
Published: 2019-09-16
Journal Reference: Alg. Number Th. 15 (2021) 271-285

arxiv-id: 1907.10690v2 [Abstract, pdf]
Formality conjecture for minimal surfaces of Kodaira dimension 0
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
Published: 2019-07-24
Journal Reference: Compositio Math. 157 (2021) 215-235

arxiv-id: 1907.07084v2 [Abstract, pdf]
2-torsion points on theta divisors
Giuseppe Pareschi, Riccardo Salvati Manni
Published: 2019-07-16
Journal Reference: International Mathematics Research Notices, Volume 2021, Issue 19, p. 14616-14628,

arxiv-id: 1905.04212v4 [Abstract, pdf]
On subvarieties of singular quotients of bounded domains
Benoît Cadorel, Simone Diverio, Henri Guenancia
Published: 2019-05-10

arxiv-id: 1902.10436v1 [Abstract, pdf]
On deformations of diagrams of commutative algebras
Emma Lepri, Marco Manetti
Published: 2019-02-27

arxiv-id: 1902.10386v2 [Abstract, pdf]
Homotopy abelianity of the DG-Lie algebra controlling deformations of pairs (variety with trivial canonical bundle, line bundle)
Donatella Iacono, Marco Manetti
Published: 2019-02-27
Journal Reference: International Journal of MathematicsVol. 32, No. 11, 2150086 (2021)

arxiv-id: 1902.06486v3 [Abstract, pdf]
Deformations of polystable sheaves on surfaces: quadraticity implies formality
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
Published: 2019-02-18

arxiv-id: 1810.08570v3 [Abstract, pdf]
Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions
Marco Manetti, Francesco Meazzini
Published: 2018-10-19
Journal Reference: Indagationes Mathematicae 31, 7-32 (2020)

arxiv-id: 1809.02398v3 [Abstract, pdf]
A note on Lang's conjecture for quotients of bounded domains
Sébastien Boucksom, Simone Diverio
Published: 2018-09-07
Journal Reference: ?pijournal de G?om?trie Alg?brique, Volume 5 (March 25, 2021) epiga:6050

arxiv-id: 1808.05119v1 [Abstract, pdf]
A DG-enhancement of D(QCoh(X)) with applications in deformation theory
Francesco Meazzini
Published: 2018-08-15

arxiv-id: 1802.07203v3 [Abstract, pdf]
Endomorphisms of Koszul complexes: formality and application to deformation theory
Francesca Carocci, Marco Manetti
Published: 2018-02-20
Journal Reference: Rend. Circ. Mat. Palermo, Series 2 (2020) 69: 175-193

arxiv-id: 1802.06707v1 [Abstract, pdf]
Formal deformation theory in left-proper model categories
Marco Manetti, Francesco Meazzini
Published: 2018-02-19
Journal Reference: New York J. Math. 25, 1259-1311 (2019)

arxiv-id: 1710.02938v2 [Abstract, pdf]
An explicit solution to the weak Schottky problem
Hershel Farkas, Samuel Grushevsky, Riccardo Salvati Manni
Published: 2017-10-09

arxiv-id: 1707.06612v4 [Abstract, pdf]
On deformations of pairs (manifold, coherent sheaf)
Donatella Iacono, Marco Manetti
Published: 2017-07-20
Journal Reference: Can. J. Math.-J. Can. Math. 71 (2019) 1209-1241

arxiv-id: 1706.05816v1 [Abstract, pdf]
The Göpel variety
Eberhard Freitag, Riccardo Salvati Manni
Published: 2017-06-19

arxiv-id: 1706.01870v3 [Abstract, pdf]
The Gauss map and secants of the Kummer variety
Robert Auffarth, Giulio Codogni, Riccardo Salvati Manni
Published: 2017-06-06

arxiv-id: 1703.03231v1 [Abstract, pdf]
The projective model structure on contractions
Marco Manetti, Chiara Spagnoli
Published: 2017-03-09

arxiv-id: 1610.08684v3 [Abstract, pdf]
Formal Abel-Jacobi maps
Domenico Fiorenza, Marco Manetti
Published: 2016-10-27

arxiv-id: 1610.04137v2 [Abstract, pdf]
Quiver representations over a quasi-Frobenius ring and Gorenstein-projective modules
Francesco Meazzini
Published: 2016-10-13

arxiv-id: 1607.04634v3 [Abstract, pdf]
Topology of representation spaces of surface groups in PSL(2,R) with assigned boundary monodromy and nonzero Euler number
Gabriele Mondello
Published: 2016-07-15

arxiv-id: 1607.01561v3 [Abstract, pdf]
Rational curves on fibered Calabi-Yau manifolds
Simone Diverio, Claudio Fontanari, Diletta Martinelli
Published: 2016-07-06

arxiv-id: 1607.01324v1 [Abstract, pdf]
Birational geometry of the moduli space of quartic K3 surfaces
Radu Laza, Kieran G. O'Grady
Published: 2016-07-05
Journal Reference: Compositio Math. 155 (2019) 1655-1710

arxiv-id: 1606.04468v1 [Abstract, pdf]
On the variety associated to the ring of theta constants in genus 3
Eberhard Freitag, Riccardo Salvati Manni
Published: 2016-06-14

arxiv-id: 1606.01381v4 [Abstract, pdf]
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
Simone Diverio, Stefano Trapani
Published: 2016-06-04

arxiv-id: 1512.05480v2 [Abstract, pdf]
Uniqueness and intrinsic properties of non-commutative Koszul brackets
Marco Manetti
Published: 2015-12-17
Journal Reference: Journal of Homotopy and Related Structures 12 (2017), 487-509

arxiv-id: 1510.03384v2 [Abstract, pdf]
Heat equation for theta functions and vector-valued modular forms
Sara Perna
Published: 2015-10-12

arxiv-id: 1509.09032v3 [Abstract, pdf]
Universal Lie Formulas for Higher Antibrackets
Marco Manetti, Giulia Ricciardi
Published: 2015-09-30
Journal Reference: SIGMA 12 (2016), 053, 20 pages

arxiv-id: 1507.05002v3 [Abstract, pdf]
On hyperplane sections of K3 surfaces
Enrico Arbarello, Andrea Bruno, Edoardo Sernesi
Published: 2015-07-17

arxiv-id: 1506.05753v3 [Abstract, pdf]
Algebraic models of local period maps and Yukawa algebras
Ruggero Bandiera, Marco Manetti
Published: 2015-06-18
Journal Reference: Letters in Mathematical Physics 108, 2055-2097 (2018)

arxiv-id: 1505.06370v1 [Abstract, pdf]
Vector-valued modular forms and the Gauss map
Francesco Dalla Piazza, Alessio Fiorentino, Samuel Grushevsky, Sara Perna, Riccardo Salvati Manni
Published: 2015-05-23

arxiv-id: 1505.01994v1 [Abstract, pdf]
Spherical metrics with conical singularities on a 2-sphere: angle constraints
Gabriele Mondello, Dmitri Panov
Published: 2015-05-08

arxiv-id: 1503.02512v3 [Abstract, pdf]
Segre forms and Kobayashi-Lübke inequality
Simone Diverio
Published: 2015-03-09

arxiv-id: 1502.07897v2 [Abstract, pdf]
Decomposable cycles and Noether-Lefschetz loci
Kieran G. O'Grady
Published: 2015-02-27

arxiv-id: 1408.4537v1 [Abstract, pdf]
Octavic theta series
Eberhard Freitag, Riccardo Salvati Manni
Published: 2014-08-20

arxiv-id: 1406.7667v2 [Abstract, pdf]
On isomorphisms between Siegel modular threefolds
Sara Perna
Published: 2014-06-30

arxiv-id: 1405.2608v2 [Abstract, pdf]
On the cohomological dimension of the moduli space of Riemann surfaces
Gabriele Mondello
Published: 2014-05-12
Journal Reference: Duke Math. J. 166, no. 8 (2017), 1463-1515

arxiv-id: 1404.3057v1 [Abstract, pdf]
Vector valued modular forms on three dimensional ball
Eberhard Freitag, Riccardo Salvati Manni
Published: 2014-04-11

arxiv-id: 1402.1929v1 [Abstract, pdf]
Vector valued hermitian and quaternionic modular forms
Eberhard Freitag, Riccardo Salvati Manni
Published: 2014-02-09
Journal Reference: Kyoto J. Math. 55, no. 4 (2015), 819-836

arxiv-id: 1312.6811v1 [Abstract, pdf]
Basic vector valued Siegel modular forms of genus two
Eberhard Freitag, Riccardo Salvati Manni
Published: 2013-12-24

arxiv-id: 1311.6613v1 [Abstract, pdf]
About the hyperbolicity of complete intersections
Simone Diverio
Published: 2013-11-26

arxiv-id: 1311.6612v1 [Abstract, pdf]
Rational curves on Calabi-Yau threefolds and a conjecture of Oguiso
Simone Diverio
Published: 2013-11-26

arxiv-id: 1311.0757v3 [Abstract, pdf]
Computations with modified diagonals
Kieran G. O'Grady
Published: 2013-11-04
Journal Reference: Rendiconti Lincei Matematica e Applicazioni 25 (2014), pp. 249 - 274

arxiv-id: 1310.3048v2 [Abstract, pdf]
On some formality criteria for DG-Lie algebras
Marco Manetti
Published: 2013-10-11
Journal Reference: J. Algebra 438 (2015), 90 - 118

arxiv-id: 1309.0496v3 [Abstract, pdf]
Mukai's program for curves on a K3 surface
Enrico Arbarello, Andrea Bruno, Edoardo Sernesi
Published: 2013-09-02

arxiv-id: 1304.7659v1 [Abstract, pdf]
On the Coble quartic and Fourier-Jacobi expansion of theta relations
Francesco Dalla Piazza, Riccardo Salvati Manni
Published: 2013-04-29

arxiv-id: 1304.4097v4 [Abstract, pdf]
Nonabelian higher derived brackets
Ruggero Bandiera
Published: 2013-04-15
Journal Reference: J. of Pure and Applied Algebra 219 (2015), no. 8, 3292-3313

arxiv-id: 1303.6495v1 [Abstract, pdf]
Parametrization of the box variety by theta functions
Eberhard Freitag, Riccardo Salvati Manni
Published: 2013-03-26

arxiv-id: 1302.4756v2 [Abstract, pdf]
The exceptional set and the Green-Griffiths locus do not always coincide
Simone Diverio, Erwan Rousseau
Published: 2013-02-19

arxiv-id: 1301.6000v2 [Abstract, pdf]
On coisotropic deformations of holomorphic submanifolds
Ruggero Bandiera, Marco Manetti
Published: 2013-01-25
Journal Reference: J. Math. Sci. Univ. Tokyo 22 (2015), 1-37

arxiv-id: 1212.1895v1 [Abstract, pdf]
On the Coble quartic
Samuel Grushevsky, Riccardo Salvati Manni
Published: 2012-12-09

arxiv-id: 1208.4279v1 [Abstract, pdf]
The fine structure of Kontsevich-Zorich strata for genus 3
Eduard Looijenga, Gabriele Mondello
Published: 2012-08-21
Journal Reference: Geom. Dedicata 169 (2014), pp. 109-128

arxiv-id: 1208.1738v1 [Abstract, pdf]
A cyclic extension of the earthquake flow II
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
Published: 2012-08-08
Journal Reference: Annales scientifiques de l'ENS 48 n. 4 (2015), 811-859

arxiv-id: 1204.6669v1 [Abstract, pdf]
Two remarks on the Weierstrass flag
Enrico Arbarello, Gabriele Mondello
Published: 2012-04-30
Journal Reference: Conference on Compact Moduli and Vector Bundles, University of Georgia, Athens GA 21-24/10/2010, Contemporary Mathematics 564 (2012), pp. 137-144

arxiv-id: 1203.6495v4 [Abstract, pdf]
Periods of Double EPW-sextics
Kieran G. O'Grady
Published: 2012-03-29

arxiv-id: 1112.0425v4 [Abstract, pdf]
Semiregularity and obstructions of complete intersections
Donatella Iacono, Marco Manetti
Published: 2011-12-02
Journal Reference: Advances in Mathematics 235 (2013) pag. 92-125

arxiv-id: 1109.4309v3 [Abstract, pdf]
Formality of Koszul brackets and deformations of holomorphic Poisson manifolds
Domenico Fiorenza, Marco Manetti
Published: 2011-09-20
Journal Reference: Homology, Homotopy and Applications, Vol. 14 (2012), No. 2, pp.63-75

arxiv-id: 1107.3337v2 [Abstract, pdf]
On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds
Simone Diverio, Andrea Ferretti
Published: 2011-07-17

arxiv-id: 1107.1263v1 [Abstract, pdf]
A survey on hyperbolicity of projective hypersurfaces
Simone Diverio, Erwan Rousseau
Published: 2011-07-06
Journal Reference: Publica\c{c}\~oes Matem\'aticas do IMPA, 2011

arxiv-id: 1106.0525v1 [Abstract, pdf]
A cyclic extension of the earthquake flow
Francesco Bonsante, Gabriele Mondello, Jean-Marc Schlenker
Published: 2011-06-02
Journal Reference: Geom. Topol. 17 (2013) 157-234

arxiv-id: 0902.3741v3 [Abstract, pdf]
A remark on the codimension of the Green-Griffiths locus of generic projective hypersurfaces of high degree
Simone Diverio, Stefano Trapani
Published: 2009-02-21

arxiv-id: 0902.0732v2 [Abstract, pdf]
An algebraic proof of Bogomolov-Tian-Todorov theorem
Donatella Iacono, Marco Manetti
Published: 2009-02-04
Journal Reference: Deformation spaces, Vieweg Aspects Math. (2010) 113-133

arxiv-id: 0812.1602v2 [Abstract, pdf]
Poisson structures on the Teichmueller space of hyperbolic surfaces with conical points
Gabriele Mondello
Published: 2008-12-09
Journal Reference: "In the Tradition of Ahlfors-Bers, V", Contemporary Mathematics, vol. 510, Amer. Math. Soc., Providence, RI, 2010, pp. 307-329

arxiv-id: 0811.2346v6 [Abstract, pdf]
Effective algebraic degeneracy
Simone Diverio, Joel Merker, Erwan Rousseau
Published: 2008-11-14
Journal Reference: Invent. Math. 180 (2010), 161-223

arxiv-id: 0808.0140v1 [Abstract, pdf]
A period map for generalized deformations
Domenico Fiorenza, Marco Manetti
Published: 2008-08-01
Journal Reference: Journal of Noncommutative Geometry, Volume 3, Issue 4, 2009; pp. 579-597

arxiv-id: 0807.4497v1 [Abstract, pdf]
Smooth metrics on jet bundles and applications
Simone Diverio
Published: 2008-07-28

arxiv-id: 0804.0605v2 [Abstract, pdf]
Riemann surfaces with boundary and natural triangulations of the Teichmueller space
Gabriele Mondello
Published: 2008-04-03
Journal Reference: J. Eur. Math. Soc. (JEMS) 13 (2011), pp. 635-684

arxiv-id: 0802.2011v1 [Abstract, pdf]
A criterion of convergence in the augmented Teichmueller space
Gabriele Mondello
Published: 2008-02-14
Journal Reference: Bull. Lond. Math. Soc. 41 (2009), pp. 733-746

arxiv-id: 0802.0045v3 [Abstract, pdf]
Existence of global invariant jet differentials on projective hypersurfaces of high degree
Simone Diverio
Published: 2008-02-01

arxiv-id: 0706.1031v3 [Abstract, pdf]
Differential Equations on Complex Projective Hypersurfaces of Low Dimension
Simone Diverio
Published: 2007-06-07

arxiv-id: 0705.1792v1 [Abstract, pdf]
Riemann surfaces, ribbon graphs and combinatorial classes
Gabriele Mondello
Published: 2007-05-12
Journal Reference: "Handbook of Teichm\"uller theory II", EMS (2009), pp. 151-216

arxiv-id: math/0610698v4 [Abstract, pdf]
Triangulated Riemann surfaces with boundary and the Weil-Petersson Poisson structure
Gabriele Mondello
Published: 2006-10-23
Journal Reference: J. Differential Geometry 81 (2009), pp. 391-436

arxiv-id: math/0602111v3 [Abstract, pdf]
A remark on the virtual homotopical dimension of some moduli spaces of stable Riemann surfaces
Gabriele Mondello
Published: 2006-02-06
Journal Reference: Journal of the European Mathematical Society, vol.10 (1) 2008, pp.231-241

arxiv-id: math/0502138v2 [Abstract, pdf]
Characterizing Jacobians via flexes of the Kummer variety
E. Arbarello, G. Marini, I. Krichever
Published: 2005-02-07

arxiv-id: math/0303207v2 [Abstract, pdf]
Combinatorial classes on the moduli space of curves are tautological
Gabriele Mondello
Published: 2003-03-17
Journal Reference: Int. Math. Res. Not. 2004, no. 44, 2329-2390